Polar Decoding on Sparse Graphs with Deep Learning
This work addresses decoding efficiency for polar codes in communication systems, presenting an incremental improvement with specific gains.
The paper tackles the problem of decoding polar codes by proposing a sparse neural network decoder that combines belief propagation with deep learning, achieving about 0.5 dB gain over min-sum decoding and 60% complexity reduction for specific code lengths.
In this paper, we present a sparse neural network decoder (SNND) of polar codes based on belief propagation (BP) and deep learning. At first, the conventional factor graph of polar BP decoding is converted to the bipartite Tanner graph similar to low-density parity-check (LDPC) codes. Then the Tanner graph is unfolded and translated into the graphical representation of deep neural network (DNN). The complex sum-product algorithm (SPA) is modified to min-sum (MS) approximation with low complexity. We dramatically reduce the number of weight by using single weight to parameterize the networks. Optimized by the training techniques of deep learning, proposed SNND achieves comparative decoding performance of SPA and obtains about $0.5$ dB gain over MS decoding on ($128,64$) and ($256,128$) codes. Moreover, $60 \%$ complexity reduction is achieved and the decoding latency is significantly lower than the conventional polar BP.